Final answer:
To simplify the expression, combine the fractions by finding a common denominator. The simplified expression is (x^2 + 5x - 14) / (x - 2).
Step-by-step explanation:
To simplify the expression, (x^2 - 4x) / (x - 2) + (9x - 14) / (x - 2), we can combine the two fractions by finding a common denominator. In this case, since both fractions have the same denominator, we can add the numerators together and keep the common denominator.
The common denominator is (x - 2), so we have:
(x^2 - 4x + 9x - 14) / (x - 2)
Combining like terms in the numerator gives:
(x^2 + 5x - 14) / (x - 2)
Therefore, the simplified expression is (x^2 + 5x - 14) / (x - 2).